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415990047 = 31119234919
BaseRepresentation
bin11000110010111…
…000000100011111
31001222202111001210
4120302320010133
51322443140142
6105140035503
713210566654
oct3062700437
91058674053
10415990047
111a38a7530
12b7392b93
136824c775
143d367c2b
15267c149c
hex18cb811f

415990047 has 24 divisors (see below), whose sum is σ = 638616960. Its totient is φ = 238839120.

The previous prime is 415990039. The next prime is 415990067. The reversal of 415990047 is 740099514.

It is not a de Polignac number, because 415990047 - 23 = 415990039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415989987 and 415990014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415990037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5547 + ... + 29372.

It is an arithmetic number, because the mean of its divisors is an integer number (26609040).

Almost surely, 2415990047 is an apocalyptic number.

415990047 is a deficient number, since it is larger than the sum of its proper divisors (222626913).

415990047 is a wasteful number, since it uses less digits than its factorization.

415990047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34971 (or 34952 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 415990047 is about 20395.8340599251. The cubic root of 415990047 is about 746.4962778410.

It can be divided in two parts, 4159 and 90047, that multiplied together give a palindrome (374505473).

The spelling of 415990047 in words is "four hundred fifteen million, nine hundred ninety thousand, forty-seven".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 34919 104757 384109 663461 1152327 1990383 7298071 12605759 21894213 37817277 138663349 415990047